273 research outputs found
Covariant Light-Front Approach for transition form factors
In the covariant light-front quark model, we investigate the form factors of
decays into
mesons. The form factors in the spacelike region are directly
evaluated. To extrapolate the form factors to the full kinematic region, we fit
the form factors by adopting a three-parameter form from the spacelike region.
transition form factors at maximally recoiling point () are
smaller than and transition form factors, while the form factors at zero recoiling point are close to each other. In the
fitting procedure, we find the parameters for the form factors and strongly depend on the decay constants of
and mesons. Fortunately, the semileptonic and nonleptonic decays
are not sensitive to these form factors. With the form factors, we also
investigate the branching fractions, polarizations of the semileptonic decays. Semileptonic and decays have much larger branching fractions than . In the three kinds of decays, contributions
from the longitudinal polarized vector is comparable with those from the
transversely polarized vector. These predictions will be tested at the ongoing
and forthcoming hadron colliders.Comment: 15 pages, 1 figure, uncertainties reanalyzed, several parts
reorganized, conclusions unchange
Perturbative corrections to form factors in QCD
We compute perturbative QCD corrections to form factors at leading
power in , at large hadronic recoil, from the light-cone sum rules
(LCSR) with -meson distribution amplitudes in HQET. QCD factorization for
the vacuum-to--meson correlation function with an interpolating current for
the -meson is demonstrated explicitly at one loop with the power counting
scheme . The jet
functions encoding information of the hard-collinear dynamics in the
above-mentioned correlation function are complicated by the appearance of an
additional hard-collinear scale , compared to the counterparts entering
the factorization formula of the vacuum-to--meson correction function for
the construction of from factors. Inspecting the
next-to-leading-logarithmic sum rules for the form factors of indicates that perturbative corrections to the hard-collinear functions
are more profound than that for the hard functions, with the default theory
inputs, in the physical kinematic region. We further compute the subleading
power correction induced by the three-particle quark-gluon distribution
amplitudes of the -meson at tree level employing the background gluon field
approach. The LCSR predictions for the semileptonic form
factors are then extrapolated to the entire kinematic region with the
-series parametrization. Phenomenological implications of our determinations
for the form factors are explored by investigating the
(differential) branching fractions and the ratio of
and by determining the CKM matrix element from the total decay rate
of .Comment: 49 pages, 8 figures, version accepted for publication in JHE
QCD calculations of form factors with higher-twist corrections
We update QCD calculations of form factors at large hadronic
recoil by including the subleading-power corrections from the higher-twist
-meson light-cone distribution amplitudes (LCDAs) up to the twist-six
accuracy and the strange-quark mass effects at leading-power in
from the twist-two -meson LCDA . The higher-twist
corrections from both the two-particle and three-particle -meson LCDAs are
computed from the light-cone QCD sum rules (LCSR) at tree level. In particular,
we construct the local duality model for the twist-five and -six -meson
LCDAs, in agreement with the corresponding asymptotic behaviours at small quark
and gluon momenta, employing the QCD sum rules in heavy quark effective theory
at leading order in . The strange quark mass effects in semileptonic
form factors yield the leading-power contribution in the heavy quark
expansion, consistent with the power-counting analysis in soft-collinear
effective theory, and they are also computed from the LCSR approach due to the
appearance of the rapidity singularities. We further explore the
phenomenological aspects of the semileptonic decays and
the rare exclusive processes , including the determination of
the CKM matrix element , the normalized differential
distributions and precision observables defined by the ratios of branching
fractions for the above-mentioned two channels in the same intervals of .Comment: 36 pages, 9 figure
Final State Interaction In Decays
We study the final state interaction effects in decays. We find
that the channel one-particle-exchange diagrams cannot enhance the
branching ratios of and very
sizably. For the pure annihilation process , the obtained
branching ratio by final state interaction is at
Recurrent Chunking Mechanisms for Long-Text Machine Reading Comprehension
In this paper, we study machine reading comprehension (MRC) on long texts,
where a model takes as inputs a lengthy document and a question and then
extracts a text span from the document as an answer. State-of-the-art models
tend to use a pretrained transformer model (e.g., BERT) to encode the joint
contextual information of document and question. However, these
transformer-based models can only take a fixed-length (e.g., 512) text as its
input. To deal with even longer text inputs, previous approaches usually chunk
them into equally-spaced segments and predict answers based on each segment
independently without considering the information from other segments. As a
result, they may form segments that fail to cover the correct answer span or
retain insufficient contexts around it, which significantly degrades the
performance. Moreover, they are less capable of answering questions that need
cross-segment information.
We propose to let a model learn to chunk in a more flexible way via
reinforcement learning: a model can decide the next segment that it wants to
process in either direction. We also employ recurrent mechanisms to enable
information to flow across segments. Experiments on three MRC datasets -- CoQA,
QuAC, and TriviaQA -- demonstrate the effectiveness of our proposed recurrent
chunking mechanisms: we can obtain segments that are more likely to contain
complete answers and at the same time provide sufficient contexts around the
ground truth answers for better predictions
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